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Elementary Topics in Differential Geometry (Undergraduate Texts in Mathematics) John A. Thorpe
Publisher:

Graduate Texts in Mathematics series (GTM), Springer. No mention of parallel transport though (this you can find in Stoker Differential Geometry (Wiley Classics Library), in Goetz Introduction to Differential Geometry (Addison-Wesley Series in Mathematics), Millman-Parker Elements of Differential Geometry's, do Carmo Differential Geometry of Curves and Surfaces or Klingenberg's A Course in Differential Geometry (Graduate Texts in Mathematics), all of them introductory books on DG too. Starting from an undergraduate level, this book systematically develops the basics of• Calculus on manifolds, vector bundles, vector fields and differential forms,• Lie groups and Lie group actions,• Linear symplectic algebra and The book guides the reader from elementary differential geometry to advanced topics in the theory of Hamiltonian systems with the aim of making current research literature accessible. Thorpe Undergraduate Texts in Mathematics Springer-Verlag, New York NY (1979). McGraw-Hill Book Company, Inc., New York NY (1988). Elementary Topics in Differential Geometry J.A. Differential geometry of curves and surfaces Differential geometry of curves. Thorpe: Elementary Topics in Differential Geometry (Undergraduate Texts in Mathematics)Publisher: Springer (April 16, 1979) | ISBN: 0387903577 | Pages: 276 | DJVU | 8.35 MBJohn A. Graduate Texts in Mathematics (GTM) Designed to bridge the gap between passive study and creative understanding, this series offers advanced-level introductions to current research. Thorpe Download Elementary Topic. Elementary Topics in Differential Geometry (Undergraduate Texts in Mathematics) [John A.